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Finding the Third Proportional to 2,084,513 and 3,114,499

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Solution

The third proportional to 2,084,513 and 3,114,499 is: 4,653,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084,513 : 3,114,499 = 3,114,499 : x
  2. Step 2: Convert to fraction form
    2,084,513/3,114,499 = 3,114,499/x
  3. Step 3: Cross multiply
    2,084,513x = 3,114,499 × 3,114,499
  4. Step 4: Simplify right side
    2,084,513x = 9,700,104,021,001
  5. Step 5: Solve for x
    x = 9,700,104,021,001/2,084,513
  6. Step 6: Final answer
    x = 4,653,414.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.